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Finding the Fourth Proportional to 300,262.95, 414,359.35 and 164,295.34

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Solution

The fourth proportional to 300,262.95, 414,359.35 and 164,295.34 is: 226,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,262.95 : 414,359.35 = 164,295.34 : x
  2. Step 2: Convert to fraction form
    300,262.95/414,359.35 = 164,295.34/x
  3. Step 3: Cross multiply
    300,262.95x = 414,359.35 × 164,295.34
  4. Step 4: Simplify right side
    300,262.95x = 68,077,308,843.79
  5. Step 5: Solve for x
    x = 68,077,308,843.79/300,262.95
  6. Step 6: Final answer
    x = 226,725.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.